105376107042 has 24 divisors (see below), whose sum is σ = 228329861760. Its totient is φ = 35123067000.

The previous prime is 105376107007. The next prime is 105376107059. The reversal of 105376107042 is 240701673501.

It is a happy number.

105376107042 is a `hidden beast` number, since 1 + 0 + 5 + 37 + 610 + 7 + 0 + 4 + 2 = 666.

105376107042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105376107042² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105376106988 and 105376107006.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102667 + ... + 470417.

It is an arithmetic number, because the mean of its divisors is an integer number (9513744240).

Almost surely, 2^105376107042 is an apocalyptic number.

105376107042 is an abundant number, since it is smaller than the sum of its proper divisors (122953754718).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105376107042 is a wasteful number, since it uses less digits than its factorization.

105376107042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383678 (or 383675 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 105376107042 in words is "one hundred five billion, three hundred seventy-six million, one hundred seven thousand, forty-two".